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Simplifying -4(3a + -2) = 2(a + 5) Reorder the terms: -4(-2 + 3a) = 2(a + 5) (-2 * -4 + 3a * -4) = 2(a + 5) (8 + -12a) = 2(a + 5) Reorder the terms: 8 + -12a = 2(5 + a) 8 + -12a = (5 * 2 + a * 2) 8 + -12a = (10 + 2a) Solving 8 + -12a = 10 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 8 + -12a + -2a = 10 + 2a + -2a Combine like terms: -12a + -2a = -14a 8 + -14a = 10 + 2a + -2a Combine like terms: 2a + -2a = 0 8 + -14a = 10 + 0 8 + -14a = 10 Add '-8' to each side of the equation. 8 + -8 + -14a = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -14a = 10 + -8 -14a = 10 + -8 Combine like terms: 10 + -8 = 2 -14a = 2 Divide each side by '-14'. a = -0.1428571429 Simplifying a = -0.1428571429
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